GCD of 260, 552, 361, 624 Calculator

Given Input numbers are 260, 552, 361, 624

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Greatest Common Divisior

We found the divisors of 260, 552, 361, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 552, 361, 624 is 1.

Therefore, GCD of numbers 260, 552, 361, 624 is 1

Given Input Data is 260, 552, 361, 624

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 361 is 19 x 19

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(260, 552) = 35880

GCD(260, 552) = ( 260 x 552 ) / 35880

GCD(260, 552) = 143520 / 35880

GCD(260, 552) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 361

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 361) = 1444

GCD(4, 361) = ( 4 x 361 ) / 1444

GCD(4, 361) = 1444 / 1444

GCD(4, 361) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 624

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

GCD(1, 624) = 624 / 624

GCD(1, 624) = 1

GCD of 260, 552, 361, 624 is 1

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1. What is the GCD of 260, 552, 361, 624?

GCD of 260, 552, 361, 624 is 1

2. Where do I get the detailed procedure to find GCD of 260, 552, 361, 624?

You can find a detailed procedure to find GCD of 260, 552, 361, 624 on our page.

3. How to find GCD of 260, 552, 361, 624 on a calculator?

You can find the GCD of 260, 552, 361, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.